An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem

Lasha Ephremidze

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arXiv · 1011.3777

An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem

Lasha Ephremidze

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Abstract

A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.

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Lasha Ephremidze. 2010-11-16. An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem. https://arxiv.org/abs/1011.3777

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